Rafael H. Villarreal

Publication Activity (10 Years)

Years Active: 2003-2023
Publications (10 Years): 27

Top Topics

Weak Perspective

Minimum Distance

Error Correction

Algebraic Properties

Top Venues

Des. Codes Cryptogr.

Finite Fields Their Appl.

Int. J. Algebra Comput.

Publications

Manuel González Sarabia, Humberto Muñoz-George, Jorge A. Ordaz, Eduardo Sáenz-de-Cabezón, Rafael H. Villarreal
Indicator functions, v-numbers and Gorenstein rings in the theory of projective Reed-Muller-type codes. CoRR (2023)
Rafael H. Villarreal
A duality theorem for the ic-resurgence of edge ideals. Eur. J. Comb. 109 (2023)
Manuel González Sarabia, Rafael H. Villarreal
Codes parameterized by the edges of a bipartite graph with a perfect matching. CoRR (2022)
Hiram H. López, Ivan Soprunov, Rafael H. Villarreal
The dual of an evaluation code. Des. Codes Cryptogr. 89 (7) (2021)
Delio Jaramillo, Rafael H. Villarreal
The v-number of edge ideals. J. Comb. Theory, Ser. A 177 (2021)
Delio Jaramillo, Maria Vaz Pinto, Rafael H. Villarreal
Evaluation codes and their basic parameters. Des. Codes Cryptogr. 89 (2) (2021)
José Martínez-Bernal, Miguel A. Valencia-Bucio, Rafael H. Villarreal
Linear codes over signed graphs. Des. Codes Cryptogr. 88 (2) (2020)
Susan M. Cooper, Alexandra Seceleanu, Stefan O. Tohaneanu, Maria Vaz Pinto, Rafael H. Villarreal
Generalized minimum distance functions and algebraic invariants of Geramita ideals. Adv. Appl. Math. 112 (2020)
José Martínez-Bernal, Miguel A. Valencia-Bucio, Rafael H. Villarreal
Generalized Hamming weights of projective Reed-Muller-type codes over graphs. Discret. Math. 343 (1) (2020)
Hiram H. López, Ivan Soprunov, Rafael H. Villarreal
The dual of an evaluation code. CoRR (2020)
José Martínez-Bernal, Miguel A. Valencia-Bucio, Rafael H. Villarreal
Linear codes over signed graphs. CoRR (2019)
Manuel González Sarabia, Delio Jaramillo, Rafael H. Villarreal
On the generalized Hamming weights of certain Reed-Muller-type codes. CoRR (2019)
Huy Tài Hà, Kuei-Nuan Lin, Susan Morey, Enrique Reyes, Rafael H. Villarreal
Edge ideals of oriented graphs. Int. J. Algebra Comput. 29 (3) (2019)
C. A. Castillo-Guillén, Carlos Rentería-Márquez, Eliseo Sarmiento Rosales, Horacio Tapia-Recillas, Rafael H. Villarreal
The dual of a constacyclic code, self dual, reversible constacyclic codes and constacyclic codes with complementary duals over finite local Frobenius non-chain rings with nilpotency index 3. Discret. Math. 342 (8) (2019)
Delio Jaramillo, Maria Vaz Pinto, Rafael H. Villarreal
A note on projective toric codes. CoRR (2019)
Susan M. Cooper, Alexandra Seceleanu, Stefan O. Tohaneanu, Maria Vaz Pinto, Rafael H. Villarreal
GMD functions for scheme-based linear codes and algebraic invariants of Geramita ideals. CoRR (2018)
José Martínez-Bernal, Miguel A. Valencia-Bucio, Rafael H. Villarreal
Generalized Hamming weights of projective Reed-Muller-type codes over graphs. CoRR (2018)
Manuel González Sarabia, Eduardo Camps, Eliseo Sarmiento, Rafael H. Villarreal
The second generalized Hamming weight of some evaluation codes arising from a projective torus. Finite Fields Their Appl. 52 (2018)
Luis Núñez-Betancourt, Yuriko Pitones, Rafael H. Villarreal
Footprint and minimum distance functions. CoRR (2017)
Manuel González Sarabia, José Martínez-Bernal, Rafael H. Villarreal, Carlos E. Vivares
Generalized minimum distance functions. CoRR (2017)
Yuriko Pitones, José Martínez-Bernal, Rafael H. Villarreal
Footprint functions of complete intersections. CoRR (2016)
Manuel González Sarabia, Eduardo Camps, Eliseo Sarmiento, Rafael H. Villarreal
The second generalized Hamming weight of some evaluation codes arising from a projective torus. CoRR (2016)
Azucena Tochimani, Maria Vaz Pinto, Rafael H. Villarreal
Direct products in projective Segre codes. Finite Fields Their Appl. 39 (2016)
José Martínez-Bernal, Yuriko Pitones, Rafael H. Villarreal
Minimum distance functions of graded ideals and Reed-Muller-type codes. CoRR (2015)
Azucena Tochimani, Maria Vaz Pinto, Rafael H. Villarreal
Projective Segre codes. CoRR (2015)
Azucena Tochimani, Rafael H. Villarreal
Complete intersection vanishing ideals on sets of clutter type over finite fields. CoRR (2015)
Azucena Tochimani, Rafael H. Villarreal
Vanishing ideals over rational parameterizations. CoRR (2015)
Liam O'Carroll, Francesc Planas-Vilanova, Rafael H. Villarreal
Degree and Algebraic Properties of Lattice and Matrix Ideals. SIAM J. Discret. Math. 28 (1) (2014)
Hiram H. Lopez, Carlos Rentería-Márquez, Rafael H. Villarreal
Affine cartesian codes. Des. Codes Cryptogr. 71 (1) (2014)
Hiram H. López, Rafael H. Villarreal
Computing the degree of a lattice ideal of dimension one. J. Symb. Comput. 65 (2014)
Hiram H. Lopez, Rafael H. Villarreal
Complete Intersections in binomial and Lattice ideals. Int. J. Algebra Comput. 23 (6) (2013)
Hiram H. Lopez, Rafael H. Villarreal
Computing the degree of a lattice ideal of dimension one CoRR (2012)
Hiram H. Lopez, Carlos Rentería-Márquez, Rafael H. Villarreal
Affine cartesian codes CoRR (2012)
Aron Simis, Rafael H. Villarreal
Combinatorics of Cremona monomial maps. Math. Comput. 81 (279) (2012)
Eliseo Sarmiento, Maria Vaz Pinto, Rafael H. Villarreal
The minimum distance of parameterized codes on projective tori. Appl. Algebra Eng. Commun. Comput. 22 (4) (2011)
Carlos Rentería-Márquez, Aron Simis, Rafael H. Villarreal
Algebraic methods for parameterized codes and invariants of vanishing ideals over finite fields. Finite Fields Their Appl. 17 (1) (2011)
Luis A. Dupont, Rafael H. Villarreal
Algebraic and combinatorial properties of ideals and algebras of uniform clutters of TDI systems. J. Comb. Optim. 21 (3) (2011)
Jorge Neves, Maria Vaz Pinto, Rafael H. Villarreal
Vanishing ideals over graphs and even cycles CoRR (2011)
Eliseo Sarmiento, Maria Vaz Pinto, Rafael H. Villarreal
The minimum distance of parameterized codes of complete intersection vanishing ideals over finite fields CoRR (2010)
Isidoro Gitler, Enrique Reyes, Rafael H. Villarreal
Ring graphs and complete intersection toric ideals. Discret. Math. 310 (3) (2010)
José Martínez-Bernal, Edwin O'Shea, Rafael H. Villarreal
Ehrhart Clutters: Regularity and Max-Flow Min-Cut. Electron. J. Comb. 17 (1) (2010)
Adam Van Tuyl, Rafael H. Villarreal
Shellable graphs and sequentially Cohen-Macaulay bipartite graphs. J. Comb. Theory, Ser. A 115 (5) (2008)
Isidoro Gitler, Enrique Reyes, Rafael H. Villarreal
Ring graphs and toric ideals. Electron. Notes Discret. Math. 28 (2007)
Rafael H. Villarreal
Normality of semigroups with some links to graph theory. Discret. Math. 302 (1-3) (2005)
Carlos E. Valencia, Rafael H. Villarreal
Canonical modules of certain edge subrings. Eur. J. Comb. 24 (5) (2003)